D Question 4 10 pts A sample (X1, X2, ..., X40) of size 40 was drawn from a population X. The mean of X is 20 and its variance is 4. What are the mean and the variance of the distribution of the sample 40 mean X = Xi? 40 i=1 O The mean of x is 0.5, the variance is 0.1 O The mean of X is 20, the variance is 0.3162 O The mean of X is 20, the variance is 0.6325 O The mean of X is 20, the variance is 0.1 O The mean of X is 0.5, the variance is 0.6325Question 5 10 pts A random variable X with the range Rx = {0, 1, 2,3} has the following distribution 1 2 3 P(X = k) 10 10 10 Find E X], the expected value of X, and var[X], the variance of X, and check boxes next to all the answers that apply. (No partial credit! Both the mean and the variance must be correct. Note that first, you need to determine the missing value P(X = 3) ). O EX = 17 10 O var(X] = 8.5 O EX - 1.5 O EX 10 O var X]= 100 O var X]= 10